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podryga [215]
3 years ago
11

Solve the equation for the unknown variable.

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
4 0
(-2)^3=-8
the answer of your question is -2
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What is the volume of the cone?
Pavlova-9 [17]

Answer:

Volume = 1017.36\ in^3 -- Cone

Volume = 3052.08\ in^3 -- Cylinder

Volume = 3052.08\ in^3 -- Sphere

<em>Best Buy: Sphere Clay</em>

Step-by-step explanation:

Given

Solid Shapes: Cone, Cylinder, Sphere

Cost of Cone Clay = $12

Cost of Cylinder Clay = $30

Cost of Sphere Clay = $28

Required

Determine the volume of each shape

Which is the best buy

<h2>CONE</h2><h3>Calculating Volume</h3>

The volume of a cone is calculated as thus;

Volume = \frac{1}{3}\pi r^2h

From the attached diagram

Radius, r = 9 inches; Height, h = 12 inches and \pi = 3.14

Substitute these values in the above formula;

Volume = \frac{1}{3} * 3.14 * 9^2 * 12

Volume = \frac{3052.08}{3}

Volume = 1017.36\ in^3

<h3>Calculating Volume:Price Ratio</h3>

The unit cost of the cone is calculated as thus;

Volume:Price  = \frac{Volume}{Total\ Cost}

Where

Volume = 1017.36\ in^3

Total\ Cost = \$12 (Given)

Volume:Price = \frac{1017.36\ in^3}{\$ 12}

Volume:Price = 84.78 in^3/\$

Volume:Price = 84.78 in^3:\$1

<h2>CYLINDER</h2><h3>Calculating Volume</h3>

The volume of a cylinder is calculated as thus;

Volume = \pi r^2h

From the attached diagram

Radius, r = 9 inches; Height, h = 12 inches and \pi = 3.14

Substitute these values in the above formula;

Volume = 3.14 * 9^2 * 12

Volume = 3052.08\ in^3

<h3>Calculating Volume:Price Ratio</h3>

The unit cost of the cone is calculated as thus;

Volume:Price = \frac{Volume}{Total\ Cost}

Where

Volume = 3052.08\ in^3

Total\ Cost = \$30 (Given)

Volume:Price = \frac{3052.08\ in^3}{\$ 30}

Volume:Price = 101.736\ in^3/\$

Volume:Price = 101.736\ in^3:\$1

<h2>SPHERE</h2><h3>Calculating Volume</h3>

The volume of a sphereis calculated as thus;

Volume = \frac{4}{3}\pi r^3

From the attached diagram

Radius, r = 9 inches; and \pi = 3.14

Substitute these values in the above formula;

Volume = \frac{4}{3} * 3.14 * 9^3

Volume = \frac{9156.24}{3}

Volume = 3052.08\ in^3

<h3>Calculating Volume-Price ratio</h3>

The unit cost of the cone is calculated as thus;

Volume:Price = \frac{Volume}{Total\ Cost}

Where

Volume = 3052.08\ in^3

Total\ Cost = \$28 (Given)

Volume:Price = \frac{3052.08\ in^3}{\$ 28}

Volume:Price = 109.003\ in^3/\$

Volume:Price = 109.003\ in^3:\$1

Comparing the Volume:Price ratio of the three clay;

<em>The best buy is the sphere because it has the highest volume:price ratio.</em>

<em>Having the highest volume:price ratio means that with $1, one can get more clay from the sphere compared to other types of clay</em>

3 0
3 years ago
What is the final step in the inequality -2(5-4x)&lt;6x-4
MA_775_DIABLO [31]

Answer:

x < 3

Step-by-step explanation:

   -2(5-4x)<6x-4

In this inequality, we are to solve for x using the steps below;

   -2(5-4x)<6x-4

Expand the parentheses on the left hand side of the expression;

    -10 + 8x < 6x - 4

Collect like terms to both sides;

     -10 + 4 < 6x - 8x

          -6 < -2x

Divide both sides by - 2; Note the sign of the inequality changes;

         3 > x  or x < 3

4 0
3 years ago
If you were in a canoe traveling downstream at 5.5 mph and your wheel falls off how many boxes of waffles does it take to re-shi
Snezhnost [94]
Not sure to be honest
7 0
3 years ago
An office opens at 9am and closes at 5.30pm with a lunch break of 30minutes. What is the ratio of lunch break to the total perio
Alex777 [14]

Answer:

1:17

Step-by-step explanation:

Find out how long it it between 5.30pm and 9am. This is 8 hours 30 minutes or 510 minutes.

Now, arrange them in the ratio of Lunch Break to Total office time

30:510. This can be simplified to 1:17

Please check if the question is worded correctly, just in case. Because ratio questions are usually based on a part and the remaining parts of the same thing, and not part to whole.

Anyway. The answer given if for the question you have typed.

Hope this helps.

4 0
3 years ago
Read 2 more answers
Michael orders pizzas from Pizza by Alfredo and from Alfredo’s Pizza Cafe. The pizzas from
FinnZ [79.3K]

Michael bought 7 pizzas from Pizza by Alfredo and 9 pizzas from Alfredo's Pizza Cafe.

Step-by-step explanation:

Cost of Pizza at Pizza by Alfredo = $3

Cost of pizza at Alfredo's pizza cafe = $5

Total amount spent = $66

Let,

Pizzas bought from Pizza by Alfredo = x

Pizzas bought from Alfredo's Pizza Cafe = y

According to given statement;

3x+5y=66     Eqn 1

5y = 3x+24        Eqn 2

Putting value of 5y from Eqn 2 in Eqn 1;

3x+(3x+24)=66\\3x+3x+24=66\\6x=66-24\\6x=42

Dividing both sides by 6

\frac{6x}{6}=\frac{42}{6}\\x=7

Putting x=7 in Eqn 2

5y=3(7)+24\\5y=21+24\\5y=45

Dividing both sides by 5

\frac{5y}{5}=\frac{45}{5}\\y=9

Michael bought 7 pizzas from Pizza by Alfredo and 9 pizzas from Alfredo's Pizza Cafe.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/10541435
  • brainly.com/question/10666510

#LearnwithBrainly

6 0
3 years ago
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